Practice the problems of Math in Focus Grade 3 Workbook Answer Key Chapter 14 Practice 4 Comparing Fractions to score better marks in the exam.

## Math in Focus Grade 3 Chapter 14 Practice 4 Answer Key Comparing Fractions

**Compare the fractions.**

**Example**

Question 1.

___________ is greater than ___________.

Answer:

**5/7** is greater than **1/2.**

Question 2.

___________ is less than ___________.

Answer:

**4/9** is less than **1/2**.

**Compare the fractions.**

Question 3.

___________ is greater than ___________.

Answer:

**2/3** is greater than **1/3**.

Explanation:

In the above images we can observe two fractions 2/3 and 1/3. It is easy to compare fractions with the same denominator. The least fraction is the one with the lowest numerator. So, 2/3 is greater than 1/3.

Question 4.

___________ is less than ___________.

Answer:

**3/8** is less than **5/8**.

Explanation:

In the above images we can observe two fractions 3/8 and 5/8. It is easy to compare fractions with the same denominator. The least fraction is the one with the lowest numerator. So, 3/8 is less than 5/8.

Question 5.

___________ is greater than ___________.

Answer:

**4/5** is greater than **4/10**.

Explanation:

In the above images we can observe two fractions 4/10 and 4/5. It is easy to compare fractions with the same numerator. The least fraction is the one with the greatest denominator. So, 4/5 is greater than 4/10.

Question 6.

___________ is less than ___________.

Answer:

**3/7** is less than **3/5**.

Explanation:

In the above images we can observe two fractions 3/7 and 3/5. It is easy to compare fractions with the same numerator. The least fraction is the one with the greatest denominator. So, 3/7 is less than 3/5.

**Compare the fractions.**

**Example**

Question 7.

\(\frac{7}{9}\) and \(\frac{2}{3}\)

\(\frac{2}{3}\) = __________

__________ < ___________

Answer:

7/9 and 2/3

**2/3 = 6/9**

**2/3 < 7/9**

Explanation:

The equivalent fraction of 2/3 is 6/9. Compare 6/9 and 7/9. It is easy to compare fractions with the same denominator. The least fraction is the one with the lowest numerator. So, 2/3 is less than 7/9.

Question 8.

\(\frac{4}{5}\) and \(\frac{1}{2}\)

\(\frac{4}{5}\) = ____________

\(\frac{1}{2}\) = ____________

__________ > __________

Answer:

4/5 and 1/2

Below are the equivalent like fractions.

**4/5 = 8/10**

**1/2 = 5/10**

**4/5 > 1/2**

Explanation:

It is easy to compare fractions with the same denominator. The least fraction is the one with the lowest numerator. So, 4/5 is greater than 1/2.

Question 9.

\(\frac{5}{6}\) and \(\frac{1}{4}\)

\(\frac{5}{6}\) = ____________

\(\frac{1}{4}\) = ____________

___________ < ___________

Answer:

5/6 and 1/4

Below are the equivalent like fractions.

**5/6 = 10/12**

**1/4 = 3/12**

**1/4 < 5/6**

Explanation:

It is easy to compare fractions with the same denominator. The least fraction is the one with the lowest numerator. So, 1/4 is less than 5/6.

**Use number lines to compare fractions.**

**Example**

**Complete.**

Question 10.

Which is greater, \(\frac{3}{5}\) or \(\frac{5}{6}\)?

___________ > __________

Which is less, \(\frac{2}{5}\) or \(\frac{3}{6}\)?

___________ < __________

Answer:

**5/6 > 3/5**

**2/5 < 3/6**

Explanation:

In the above image we can observe two number lines.

Compare these two fractions 3/5 and 5/6. In first number line we can observe 3/5. In the second number line we can observe 5/6. The red line is drawn from first number line to second number line to know which fraction is greater. The fraction 5/6 is greater than 3/5.

Compare these two fractions 2/5 and 3/6. In first number line we can observe 2/5. In the second number line we can observe 3/6. The green line is drawn from first number line to second number line to know which fraction is less. The fraction 2/5 is less than 3/6.

**Compare. Choose > or <. Use \(\frac{1}{2}\) as a benchmark.**

Question 11.

Answer:

Explanation:

In the above image we can observe three number lines. To compare the fractions we are using the first number line as 1/2 benchmark.

The fractions before 1/2 are the fractions less than 1/2.

The fractions after 1/2 are the fractions greater than 1/2.

The fraction 4/6 is greater than 1/2 as we can observe in the second number line.

The fraction 1/8 is less than 1/2 as we can observe in the third number line.

So, 4/6 is greater than 1/8.

**Compare the fractions. Fill in the blanks.**

Question 12.

\(\frac{4}{7}\) and \(\frac{6}{7}\)

_____________ is greater.

Answer:

4/7 and 6/7

**6/7** **is greater**.

Explanation:

By comparing these two fractions 4/7 and 6/7. 6/7 is greater than 4/7.

Question 13.

\(\frac{2}{5}\) and \(\frac{2}{10}\)

_____________ is greater.

Answer:

2/5 and 2/10

**2/5** **is greater**.

Explanation:

By comparing these two fractions 2/5 and 2/10. The simplified form of the fraction 2/10 is 1/5. So, 2/5 is greater than 2/10.

Question 14.

\(\frac{7}{12}\) and \(\frac{1}{2}\)

_____________ is greater.

Answer:

7/12 and 1/2

**7/12** **is greater**.

Explanation:

By comparing these two fractions 7/12 and 1/2. The fraction 7/12 is greater than 1/2.

Question 15.

\(\frac{5}{11}\) and \(\frac{1}{2}\)

_____________ is less.

Answer:

5/11 and 1/2

**5/11** **is less**.

Explanation:

By comparing these two fractions 5/11 and 1/2. The fraction 5/11 is less than 1/2.

Question 16.

\(\frac{7}{12}\) and \(\frac{5}{11}\)

_____________ is less.

Answer:

7/12 and 5/11

**5/11** **is less**.

Explanation:

By comparing these two fractions 7/12 and 5/11. The fraction 5/11 is less than 7/12.

**Order the fractions from greatest to least.**

**Example**

Answer:

Question 17.

\(\frac{7}{11}, \frac{5}{11}, \frac{11}{11}\)

Answer:

**11/11, 7/11, 5/11.**

Explanation:

The least fraction is the one with the lowest numerator. The fractions from greatest to least are 11/11, 7/11, 5/11.

Question 18.

\(\frac{2}{3}, \frac{5}{6}, \frac{4}{10}\)

Answer:

**5/6, 2/3, 2/5**

Explanation:

The fraction from greatest to least are 5/6, 2/3, 2/5.

Question 19.

\(\frac{1}{3}, \frac{1}{2}, \frac{3}{4}\)

Answer:

**3/4, 1/2, 1/3**

Explanation:

The fraction from greatest to least are 3/4, 1/2, 1/3.

Question 20.

\(\frac{1}{2}, \frac{2}{3}, \frac{3}{4}\)

Answer:

**3/4, 2/3, 1/2**

Explanation:

The fractions from greatest to least are 3/4, 2/3, 1/2.